Perelman's Stability Theorem
Differential Geometry
2007-05-23 v3
Abstract
We give a proof of the celebrated stability theorem of Perelman stating that for a noncollapsing sequence of Alexandrov spaces with curvature bounded below Gromov-Hausdorff converging to a compact Alexandrov space , is homeomorphic to for all large .
Keywords
Cite
@article{arxiv.math/0703002,
title = {Perelman's Stability Theorem},
author = {Vitali Kapovitch},
journal= {arXiv preprint arXiv:math/0703002},
year = {2007}
}
Comments
revised introduction